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Solve the equation 2(x + 3) - 4 = 16 - 3x for x.

Question

Solve the equation 2(x + 3) - 4 = 16 - 3x for x.

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Solution

Sure, let's solve the equation step by step:

  1. First, distribute the 2 in the expression 2(x + 3). This gives us 2x + 6.
  2. So, the equation now is 2x + 6 - 4 = 16 - 3x.
  3. Simplify the equation by combining like terms on both sides. This gives us 2x + 2 = 16 - 3x.
  4. Next, get all the x terms on one side of the equation and the numbers on the other side. This gives us 2x + 3x = 16 - 2.
  5. Simplify again to get 5x = 14.
  6. Finally, solve for x by dividing both sides of the equation by 5. This gives us x = 14/5 = 2.8.

So, the solution to the equation 2(x + 3) - 4 = 16 - 3x is x = 2.8.

This problem has been solved

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